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Finding the Fourth Proportional to 22,906.32, 31,610.43 and 12,834.57

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Solution

The fourth proportional to 22,906.32, 31,610.43 and 12,834.57 is: 17,711.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,906.32 : 31,610.43 = 12,834.57 : x
  2. Step 2: Convert to fraction form
    22,906.32/31,610.43 = 12,834.57/x
  3. Step 3: Cross multiply
    22,906.32x = 31,610.43 × 12,834.57
  4. Step 4: Simplify right side
    22,906.32x = 405,706,276.57
  5. Step 5: Solve for x
    x = 405,706,276.57/22,906.32
  6. Step 6: Final answer
    x = 17,711.54

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.